Solve for x -1(2x+4)>=6

$- 1 (2 x + 4) \geq 6$

Step 1

Divide each term in $- 1 (2 x + 4) \geq 6$ by $- 1$ and simplify.

Divide each term in $- 1 (2 x + 4) \geq 6$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 1 (2 x + 4)}{- 1} \leq \frac{6}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{2 x + 4}{1} \leq \frac{6}{- 1}$

Divide $2 x + 4$ by $1$ .

$2 x + 4 \leq \frac{6}{- 1}$

Simplify the right side.

Divide $6$ by $- 1$ .

$2 x + 4 \leq - 6$

Step 2

Move all terms not containing $x$ to the right side of the inequality.

Subtract $4$ from both sides of the inequality.

$2 x \leq - 6 - 4$

Subtract $4$ from $- 6$ .

$2 x \leq - 10$

Step 3

Divide each term in $2 x \leq - 10$ by $2$ and simplify.

Divide each term in $2 x \leq - 10$ by $2$ .

$\frac{2 x}{2} \leq \frac{- 10}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} \leq \frac{- 10}{2}$

Divide $x$ by $1$ .

$x \leq \frac{- 10}{2}$

Simplify the right side.

Divide $- 10$ by $2$ .

$x \leq - 5$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x \leq - 5$

Interval Notation:

$(- \infty, - 5]$

Solve for x -1(2x+4)>=6

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